) Use algebra tiles to find $$ (10 x+3)+\left(-x^{2}+9 x-10\right) $$

Question

UpStudy AI · Accepted Answer

To find the sum of the two expressions using algebra tiles, we'll combine like terms. Here's a step-by-step explanation:

**Given Expressions:**
$$
(10x + 3) + \left(-x^{2} + 9x - 10\right)
$$

**Step 1: Remove the Parentheses**
$$
10x + 3 - x^{2} + 9x - 10
$$

**Step 2: Rearrange the Terms in Standard Form**
$$
-x^{2} + 10x + 9x + 3 - 10
$$

**Step 3: Combine Like Terms**
- **Combine the $$x$$ terms:**
  $$
  10x + 9x = 19x
  $$
- **Combine the constant terms:**
  $$
  3 - 10 = -7
  $$

**Step 4: Write the Final Expression**
$$
-x^{2} + 19x - 7
$$

**Conclusion:**
$$
(10x + 3) + \left(-x^{2} + 9x - 10\right) = -x^{2} + 19x - 7
$$
$$ (10x + 3) + (-x^{2} + 9x - 10) = -x^{2} + 19x - 7 $$

) Use algebra tiles to find